{"id":"https://openalex.org/W4415180591","doi":"https://doi.org/10.23919/ecc65951.2025.11187135","title":"Extended Kalman Filter Informed Neural Network for discrete-time system identification and state reconstruction","display_name":"Extended Kalman Filter Informed Neural Network for discrete-time system identification and state reconstruction","publication_year":2025,"publication_date":"2025-06-24","ids":{"openalex":"https://openalex.org/W4415180591","doi":"https://doi.org/10.23919/ecc65951.2025.11187135"},"language":"en","primary_location":{"id":"doi:10.23919/ecc65951.2025.11187135","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc65951.2025.11187135","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064449952","display_name":"Massimiliano d\u2019Angelo","orcid":"https://orcid.org/0000-0002-3017-3557"},"institutions":[{"id":"https://openalex.org/I4210115688","display_name":"Institute for Systems Analysis","ror":"https://ror.org/02kmet255","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210115688"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Massimiliano D\u2019Angelo","raw_affiliation_strings":["National Research Council of Italy,Institute for System Analysis and Computer Science ”Antonio Ruberti” (IASI)"],"affiliations":[{"raw_affiliation_string":"National Research Council of Italy,Institute for System Analysis and Computer Science ”Antonio Ruberti” (IASI)","institution_ids":["https://openalex.org/I4210115688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072737139","display_name":"Giovanni Palombo","orcid":"https://orcid.org/0000-0003-2061-0239"},"institutions":[{"id":"https://openalex.org/I4210115688","display_name":"Institute for Systems Analysis","ror":"https://ror.org/02kmet255","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210115688"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Giovanni Palombo","raw_affiliation_strings":["National Research Council of Italy,Institute for System Analysis and Computer Science ”Antonio Ruberti” (IASI)"],"affiliations":[{"raw_affiliation_string":"National Research Council of Italy,Institute for System Analysis and Computer Science ”Antonio Ruberti” (IASI)","institution_ids":["https://openalex.org/I4210115688"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Alessandro Borri","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115688","display_name":"Institute for Systems Analysis","ror":"https://ror.org/02kmet255","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210115688"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alessandro Borri","raw_affiliation_strings":["National Research Council of Italy,Institute for System Analysis and Computer Science ”Antonio Ruberti” (IASI)"],"affiliations":[{"raw_affiliation_string":"National Research Council of Italy,Institute for System Analysis and Computer Science ”Antonio Ruberti” (IASI)","institution_ids":["https://openalex.org/I4210115688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025543690","display_name":"Federico Papa","orcid":"https://orcid.org/0000-0002-0263-5697"},"institutions":[{"id":"https://openalex.org/I4210115688","display_name":"Institute for Systems Analysis","ror":"https://ror.org/02kmet255","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210115688"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Federico Papa","raw_affiliation_strings":["National Research Council of Italy,Institute for System Analysis and Computer Science ”Antonio Ruberti” (IASI)"],"affiliations":[{"raw_affiliation_string":"National Research Council of Italy,Institute for System Analysis and Computer Science ”Antonio Ruberti” (IASI)","institution_ids":["https://openalex.org/I4210115688"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034312302","display_name":"Valerio Cusimano","orcid":"https://orcid.org/0000-0002-1965-9054"},"institutions":[{"id":"https://openalex.org/I4210115688","display_name":"Institute for Systems Analysis","ror":"https://ror.org/02kmet255","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210115688"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Valerio Cusimano","raw_affiliation_strings":["National Research Council of Italy,Institute for System Analysis and Computer Science ”Antonio Ruberti” (IASI)"],"affiliations":[{"raw_affiliation_string":"National Research Council of Italy,Institute for System Analysis and Computer Science ”Antonio Ruberti” (IASI)","institution_ids":["https://openalex.org/I4210115688"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5064449952"],"corresponding_institution_ids":["https://openalex.org/I4210115688"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15371968,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1999","last_page":"2005"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9501000046730042,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9501000046730042,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9412000179290771,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13717","display_name":"Advanced Algorithms and Applications","score":0.9381999969482422,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.7153000235557556},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.6353999972343445},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6154000163078308},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6108999848365784},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.6047999858856201},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.5054000020027161},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4925000071525574},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.47099998593330383}],"concepts":[{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.7153000235557556},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.6353999972343445},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6154000163078308},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6108999848365784},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.6047999858856201},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6026999950408936},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.5054000020027161},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4925000071525574},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.47099998593330383},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.46799999475479126},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4471000134944916},{"id":"https://openalex.org/C22157029","wikidata":"https://www.wikidata.org/wiki/Q17080460","display_name":"Nonlinear system identification","level":4,"score":0.4027000069618225},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.39730000495910645},{"id":"https://openalex.org/C137685913","wikidata":"https://www.wikidata.org/wiki/Q4316763","display_name":"Nonlinear filter","level":4,"score":0.3481999933719635},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.3472999930381775},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3407999873161316},{"id":"https://openalex.org/C8639503","wikidata":"https://www.wikidata.org/wiki/Q6059511","display_name":"Invariant extended Kalman filter","level":4,"score":0.3386000096797943},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3386000096797943},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.28439998626708984},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.28189998865127563},{"id":"https://openalex.org/C107645828","wikidata":"https://www.wikidata.org/wiki/Q12070446","display_name":"System model","level":2,"score":0.28060001134872437},{"id":"https://openalex.org/C129537906","wikidata":"https://www.wikidata.org/wiki/Q7603913","display_name":"State variable","level":2,"score":0.26109999418258667},{"id":"https://openalex.org/C2781170535","wikidata":"https://www.wikidata.org/wiki/Q30587856","display_name":"Noisy data","level":2,"score":0.26089999079704285},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.25110000371932983}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc65951.2025.11187135","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc65951.2025.11187135","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W2002924558","https://openalex.org/W2048218257","https://openalex.org/W2102434872","https://openalex.org/W2105934661","https://openalex.org/W2616319328","https://openalex.org/W2791113830","https://openalex.org/W2889326492","https://openalex.org/W2899283552","https://openalex.org/W2904124013","https://openalex.org/W2946591899","https://openalex.org/W2957708210","https://openalex.org/W3010849941","https://openalex.org/W3015939590","https://openalex.org/W3109749236","https://openalex.org/W3114000978","https://openalex.org/W3197694049","https://openalex.org/W4200113638","https://openalex.org/W4246840991","https://openalex.org/W4251436587","https://openalex.org/W4285806933","https://openalex.org/W4315489139","https://openalex.org/W4381735025","https://openalex.org/W4407950255"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,31],"discrete-time":[4,32],"framework":[5,28],"for":[6,48],"parameter":[7],"identification":[8],"and":[9,29,81],"state":[10],"reconstruction":[11],"of":[12,57,74],"stochastic":[13,39],"nonlinear":[14,82],"systems":[15],"with":[16],"additive":[17],"noise.":[18,40],"Specifically,":[19],"we":[20],"build":[21],"on":[22,67],"the":[23,45,49,54,58,68,72,75],"Physics-Informed":[24],"Neural":[25],"Network":[26],"(PINN)":[27],"integrate":[30],"Extended":[33],"Kalman":[34],"Filter":[35],"(EKF)":[36],"to":[37,62],"manage":[38],"The":[41],"EKF":[42],"serves":[43],"as":[44],"information":[46],"model":[47],"neural":[50],"network,":[51],"complemented":[52],"by":[53],"likelihood":[55],"function":[56],"output":[59],"innovation":[60],"sequence":[61],"enhance":[63],"accuracy.":[64],"Numerical":[65],"simulations":[66],"Chialvo":[69],"oscillator":[70],"demonstrate":[71],"effectiveness":[73],"proposed":[76],"approach":[77],"in":[78],"handling":[79],"noisy":[80],"system":[83],"dynamics.":[84]},"counts_by_year":[],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2025-10-15T00:00:00"}